Question

[SKY LY]

6^x.6=2016

4^2x+3:4=256

[x-2]²=16

[2x-1]³=27

[2x-1]¹⁰⁰=[2x-1]¹⁰⁰

Answer 1

[Đỗ Đức Đạt]

6^x . 6 = 2016

6^x = 2016 : 6

6^x = 336

=> x \(\in\varnothing\)

4^2x+3 : 4 = 256

4^2x+3 = 256 x 4

4^2x+3 = 1024

4^2x+3 = 4⁵

2x + 3 = 5

2x = 5 - 3

2x = 2

  x = 2 : 2

  x = 1

[ x - 2 ]² = 16

[ x - 2 ]² = 4²

x - 2 = 4

      x = 4 + 2

      x = 6

[ 2x - 1 ]³ = 27

[ 2x - 1 ]³ = 3³

2x - 1 = 3

2x = 3 + 1

2x = 4

  x = 4 : 2

  x = 2

[ 2x - 1 ]¹⁰⁰ = [ 2x - 1 ]¹⁰⁰

=> x \(\in N\)